Question

If the product of two rational numbers is -9/16 and one of them is - 4/15 , (3)
find the other number

Answer 1

Answer:

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Answer 2

If the product of two rational numbers is -9/16 and one of them is - 4/15 then other number is 135/64

Given :

The product of two rational numbers is -9/16 and one of them is - 4/15

To find :

The other number

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that product of two rational numbers is - 9/16 and one of them is - 4/15

Step 2 of 2 :

Find the other number

Let n be the required number

So by the given condition

$\displaystyle \sf{ } - \frac{4}{15} \times n = - \frac{9}{16}$

$\displaystyle \sf{ \implies }n = \frac{- \frac{9}{16} }{ - \frac{4}{15} }$

$\displaystyle \sf{ \implies }n = \frac{ \frac{9}{16} }{ \frac{4}{15} }$

$\displaystyle \sf{ \implies }n = \frac{9}{16} \times \frac{15}{4}$

$\displaystyle \sf{ \implies }n = \frac{135}{64}$

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